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Relaxation approximation of the Kerr Model for the three dimensional initial-boundary value problem

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorCARBOU, Gilles
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorHANOUZET, Bernard
dc.date.accessioned2024-04-04T02:37:32Z
dc.date.available2024-04-04T02:37:32Z
dc.date.created2008
dc.date.issued2009
dc.identifier.issn0219-8916
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190804
dc.description.abstractEnThe electromagnetic waves propagation in a non linear medium can be described by the Kerr model in case of instantaneous response of the material, or by the Kerr-Debye model if the material exhibits a finite response time. Both models are quasilinear hyperbolic and are endowed with a dissipative entropy. Initial-boundary value problem with the maximal dissipative impedance boundary condition is considered. When the response time is fixed, in the one dimensional and the two dimensional transverse electric cases, the global existence of smooth solutions for the Kerr-Debye system is established. When the response time tends to zero, the convergence of the Kerr-Debye model to the Kerr model is proved in the general case: the Kerr model is the zero relaxation limit of the Kerr-Debye model
dc.language.isoen
dc.publisherWorld Scientific Publishing
dc.title.enRelaxation approximation of the Kerr Model for the three dimensional initial-boundary value problem
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalJournal of Hyperbolic Differential Equations
bordeaux.pageà paraître
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00284044
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00284044v1
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